The force F is applied to the torque wrench in three (3) different configurations. Point A is rotated 25° from horizontal. Point B is horizontal. Point C is 15° below horizontal. F= 10 lb L= 12 in Use vector cross products to calculate the torque applied to the bolt in each of the 3 configurations. You can use a scalar method to verify your answer in the evaluation section.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
icon
Related questions
Question

The three configs are A, B, and C in the picture

### Understanding Torque in Various Configurations

In the diagram provided, a force \( F \) is applied to a torque wrench in three different configurations. Each configuration affects the angle at which the force is applied, changing the resulting torque. Below are the specific details for the configurations:

- **Point A**: The force is rotated 25° from horizontal.
- **Point B**: The force is applied horizontally.
- **Point C**: The force is 15° below horizontal.

#### Parameters:
- **Force (\( F \))**: 10 lb
- **Length of Wrench (\( L \))**: 12 in

### Task:
Utilize vector cross products to calculate the torque applied to the bolt for each configuration. Additionally, validate your results using a scalar method in the evaluation section.

### Diagram Explanation:
The diagram on the right illustrates the three positions (A, B, C) where the force \( F \) can be applied:

- **A**: Indicated by an arrow angled above the horizontal line, representing the 25° rotation.
- **B**: An arrow pointing directly perpendicular to the length \( L \), indicating a horizontal force.
- **C**: An arrow angled below the horizontal, representing the 15° drop.

The diagram visually demonstrates how the angle of applied force affects the torque on the bolt. The vertical dotted line from the bolt and perpendicular lines to each force vector denote how torque calculations should consider both force and distance.

### Learning Outcome:
By the end of this exercise, you should be able to calculate torque using both vector and scalar methods, understanding the impact of force direction on torque magnitude.
Transcribed Image Text:### Understanding Torque in Various Configurations In the diagram provided, a force \( F \) is applied to a torque wrench in three different configurations. Each configuration affects the angle at which the force is applied, changing the resulting torque. Below are the specific details for the configurations: - **Point A**: The force is rotated 25° from horizontal. - **Point B**: The force is applied horizontally. - **Point C**: The force is 15° below horizontal. #### Parameters: - **Force (\( F \))**: 10 lb - **Length of Wrench (\( L \))**: 12 in ### Task: Utilize vector cross products to calculate the torque applied to the bolt for each configuration. Additionally, validate your results using a scalar method in the evaluation section. ### Diagram Explanation: The diagram on the right illustrates the three positions (A, B, C) where the force \( F \) can be applied: - **A**: Indicated by an arrow angled above the horizontal line, representing the 25° rotation. - **B**: An arrow pointing directly perpendicular to the length \( L \), indicating a horizontal force. - **C**: An arrow angled below the horizontal, representing the 15° drop. The diagram visually demonstrates how the angle of applied force affects the torque on the bolt. The vertical dotted line from the bolt and perpendicular lines to each force vector denote how torque calculations should consider both force and distance. ### Learning Outcome: By the end of this exercise, you should be able to calculate torque using both vector and scalar methods, understanding the impact of force direction on torque magnitude.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 10 images

Blurred answer
Knowledge Booster
Fluid Kinematics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY